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Finding the Third Proportional to 102,120.75 and 153,272.25

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Solution

The third proportional to 102,120.75 and 153,272.25 is: 230,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120.75 : 153,272.25 = 153,272.25 : x
  2. Step 2: Convert to fraction form
    102,120.75/153,272.25 = 153,272.25/x
  3. Step 3: Cross multiply
    102,120.75x = 153,272.25 × 153,272.25
  4. Step 4: Simplify right side
    102,120.75x = 23,492,382,620.06
  5. Step 5: Solve for x
    x = 23,492,382,620.06/102,120.75
  6. Step 6: Final answer
    x = 230,045.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.